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14714864640 = 2103257519
BaseRepresentation
bin11011011010001001…
…10000010000000000
31101222111121120111200
431231010300100000
5220114001132030
610432050341200
71030435200000
oct155504602000
941874546450
1014714864640
116271180663
122a27b8a800
1315067540c8
149d8400000
155b1c8ed60
hex36d130400

14714864640 has 792 divisors, whose sum is σ = 62614618560. Its totient is φ = 3186376704.

The previous prime is 14714864603. The next prime is 14714864653. The reversal of 14714864640 is 4646841741.

14714864640 is a `hidden beast` number, since 1 + 47 + 148 + 6 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 774466551 + ... + 774466569.

Almost surely, 214714864640 is an apocalyptic number.

14714864640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14714864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31307309280).

14714864640 is an abundant number, since it is smaller than the sum of its proper divisors (47899753920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14714864640 is an frugal number, since it uses more digits than its factorization.

14714864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14714864640 in words is "fourteen billion, seven hundred fourteen million, eight hundred sixty-four thousand, six hundred forty".